20731170848640 has 384 divisors, whose sum is σ = 77842334361600. Its totient is φ = 4678569971712.

The previous prime is 20731170848617. The next prime is 20731170848651. The reversal of 20731170848640 is 4684807113702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6037657 + ... + 8826983.

It is an arithmetic number, because the mean of its divisors is an integer number (202714412400).

Almost surely, 2^{20731170848640} is an apocalyptic number.

20731170848640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20731170848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38921167180800).

20731170848640 is an abundant number, since it is smaller than the sum of its proper divisors (57111163512960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20731170848640 is a wasteful number, since it uses less digits than its factorization.

20731170848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789442 (or 2789423 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 20731170848640 in words is "twenty trillion, seven hundred thirty-one billion, one hundred seventy million, eight hundred forty-eight thousand, six hundred forty".